Last week, 14 F-16 fighters, part of the US Air Force in Europe, arrived in Estonia from their Italian base for joint military drills set to last through April 17.
"We asked our guests to change their routes more often, so that, for one thing, they wouldn't make too much noise in one place, while also letting as many Estonian citizens as possible see the aircraft," Tarien said in an interview with a local radio station.
The Air Force Commander added that they had also asked the US military to provide information about their routes one day before flights take place.
The US fighters and some 300 personnel are currently stationed at the Amari Air Base outside Estonia's capital Tallinn.
Earlier this month, Estonia's mission to NATO said that US tanks and equipment arrived for joint military exercises, code-named Siil 2015 (Hedgehog 2015) to be held May 4-15.
The deployment of US servicemen in Estonia is part of operation Atlantic Resolve, which is designed to demonstrate the US commitment to NATO members across Eastern Europe through international training and security cooperation.